" (ii) "tan^(-1)(sqrt(x)+sqrt(a))/(1-sqrt(xa))quad |CB

tan^-1 (sqrt(x)+sqrt(a))/(1-sqrt(x)sqrt(a))

Differentiate tan^(-1)((sqrt(x)+sqrt(a))/(1-sqrt(xa))) with respect to x

Prove that: i) tan^(-1)(sqrt(x)+sqrt(y))/(1-sqrt(xy))=tan^(-1)sqrt(x)+tan^(-1)sqrt(y) ii) tan^(-1)(x+sqrt(x))/(1-x^(3//2))=tan^(-1)x+tan^(-1)sqrt(x) iii) tan^(-1)(sinx)/(1+cosx)=x/2

Differentiate tan^(-1)((sqrt(x)+sqrt(a))/(1-sqrt(x a))) with respect to x

"tan^(-1)"((sqrt(x)-x)/(1+sqrt(x^(3))))"

Differentiate tan^(-1)[(sqrt(x)+sqrt(a))/(1-sqrt(ax))] w.r.t. x.

tan^(-1)((sqrt(1+x)+sqrt(1-x))/(sqrt(1+x)-sqrt(1-x)))

tan^(-1)(sqrt((1-x)/(1+x)))

Find the (dy)/(dx) of y=tan^(-1)((sqrt(a)-sqrt(x))/(1+sqrt(a x)))